2066100464106 has 216 divisors, whose sum is σ = 5625553321440. Its totient is φ = 546169284864.

The previous prime is 2066100464069. The next prime is 2066100464117. The reversal of 2066100464106 is 6014640016602.

2066100464106 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 1 + 0 + 0 + 4 + 641 + 0 + 6 = 666.

It is a super-2 number, since 2×2066100464106² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14970291 + ... + 15107673.

It is an arithmetic number, because the mean of its divisors is an integer number (26044228340).

Almost surely, 2^{2066100464106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066100464106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812776660720).

2066100464106 is an abundant number, since it is smaller than the sum of its proper divisors (3559452857334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2066100464106 is a wasteful number, since it uses less digits than its factorization.

2066100464106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137498 (or 137471 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2066100464106 in words is "two trillion, sixty-six billion, one hundred million, four hundred sixty-four thousand, one hundred six".